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What is a radian?

A radian is the angle in a segment that gives an arc length of 1 radius. This is another way to measure angles instead of degrees. As the circumference of a circle is 2 pi r, we have 2 pi radiuses in the cir...
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Answered by Prince A. • Maths tutor
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The equation of a circle is x^2-6x+y^2+4y=12. Complete the square to find the centre and radius of the circle.

When we complete the square, we're looking for an equation that looks like (x-a) 2 + (y-b) 2 = r 2 , where (a,b) is the centre and r is the radius. When we expand brackets using FOIL, the x part is (x 2 -2ax...
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Answered by Hubert A. • Maths tutor
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differentiate- X^3- 2X^2+3

3-1=2 2X2 = 4 2-1= 1 =3x^2- 4x
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Answered by Radhika T. • Maths tutor
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Given the function f(x) = (x^2)sin(x), find f'(x).

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule. The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x)*h'(x) + ...
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Answered by Jason S. • Maths tutor
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The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve

Integrate this = (3x^3)/3 + (3x^2)/2 + c So y = x^3 + (3x^2)/2 + c Using point (0,0), 0 = 0 + 0 + c so c = 0. Full equation of the curve is therefore x^3 + (3x^2)/2
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Answered by Laura T. • Maths tutor
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